what are the answers to these problems 5. OSHA requires that the foot of a portable ladder must be at least one quarter of the length of theladder away from the vertical work surface. A 16-foot ladder leans against a wall so that the footof the ladder is 4 feet from the base of the building. What angle does the ladder make with theground?6. A 50 foot vertical tower is braced with cables secured at the top of the tower and tied 30 feet fromthe base. What angle does the cable form with the vertical tower?7. At a point on the ground 50 feet from the foot of a tree, the angle of elevation to the top of the treeis 53°. Find the height of the tree.8. From the top of a lighthouse 210 feet high, the angle of depression of a boat is 27°. Find thedistance from the boat to the foot of the lighthouse. The light house is on a sea stack that rises 40feet above the ocean.9. Richard is flying a kite. The kite string makes an angle of 57° with the ground. If Richard isstanding 100 feet from the point on the ground directly beneath the kite, find the length of the kitestring.10. An airplane rises vertically 1,000 feet over a horizontal distance of 2.5 miles What is the angle ofelevation of the airplane's path? There are 5,280 feet in 1'mile.11. A 5-foot pole casts a 16-foot shadow. What is the angle of elevation of the sun?12. Át the same time as the pole/shadow combination in problem 11, I paced off the shadow of aflagpole to 140 feet. How tall (to the nearest foot) is the flagpole? Angles of Elevation and DepressionThere are many problems where you will need to determine distances and lengths but will not beable to measure them directly (with a tape measure or other measuring device). Many times thesedistances can be calculated using trigonometry. Often such problems will involve an angle of elevation oran angle of depression.angle of depressionangle ofelevationExample: The angle of elevation from point A to the top of a cliff is 38°. If point A is 80 feetfrom the base of the cliff, how high (to the nearest tenth of a foot) is the cliff?Let x represent the height of the cliff.Then tan 38° = *80Look up tan 38° = .7813So.7813 = and x = 62.504 62.5 feet8080 ftOn another paper:(a) Draw a picture or diagram showing all of the information.(b) Solve each problem. Round lengths to the nearest tenth and angles to the nearest degree unlessotherwise instructed.Show your steps!1. From the top of a tower, the angle of depression to a stake on the ground is 72°. The top of thetower is 80 feet above the ground. How far is the stake from the foot of the tower?2. A tree 40 feet high casts a shadow 62 feet long. Find the measure of the angle of elevation of thesun,3. A ladder leaning against a house makes an angle of 72° with the ground. The foot of the ladder isfive feet from the foundation of the house. How long (to the nearest foot) is the ladder?4. A balloon on a 40-foot string makes an angle of 78° with the ground. How high above the groundis the balloon if the hand of the person holding the string is 5 feet above the ground?

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Answered: How far is the stake from the foot of…

Math

Geometry

How far is the stake from the foot of the tower?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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